Applied Mathematics for Engineers, Fifth Edition

 
9780972999076: Applied Mathematics for Engineers, Fifth Edition
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The principal goal of this book is to provide the reader with a comprehensive knowledge of fundamental concepts and methods of applied mathematics used in different engineering disciplines. Each topic is covered in great detail, followed by several meticulously worked-out examples, as well as a problem set containing a large number of additional related exercises. Engineering applications are stressed and integrated throughout the book, and consistent with that notion, derivations of the mathematical models of many physical systems are included to familiarize the reader with the basic laws and proper engineering terminology. The fourth edition of the book (2007) has been entirely revamped to produce this latest edition through the addition of several topics and removal of a few others. The book is essentially divided into three main parts. The first part covers complex analysis (Chapter 1), ordinary and partial differential equations (Chapters 2 4 and 7), Laplace transformation (Chapter 5), and Fourier analysis (Chapter 6). In the second part, a detailed coverage of matrix analysis (Chapter 8) and matrix eigenvalue problem (Chapter 9) is presented. Several applications in engineering vibrations are included for a better understanding of the effectiveness of matrix computations in determining systems natural frequencies and mode shapes. The third part of the book is completely devoted to numerical methods with applications in different engineering disciplines. The powerful software MATLABŪ is introduced in Chapter 10 and is used to perform symbolic, graphical, and numerical tasks. Chapter 11 introduces techniques for solving equations and systems. Chapter 12 discusses curve fitting and interpolation techniques, while Chapter 13 covers numerical differentiation and integration methods. Chapter 14 presents numerical methods for solving initial- and boundary-value problems. Chapter 15 introduces methods to approximate eigenvalues of a matrix. Numerical solution of partial differential equations is covered in Chapter 16.

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About the Author:

Dr. Ramin Esfandiari is a professor of Mechanical and Aerospace Engineering at California State University, Long Beach, where he has served as a faculty member since 1989. He received his B.S. in Mechanical Engineering, and M.A. and Ph.D. in Applied Mathematics (Optimal Control), all from the University of California, Santa Barbara. He has authored several refereed research papers in high quality engineering and scientific journals, including Journal of Optimization Theory and Applications, Journal of Sound and Vibration, Optimal Control Applications and Methods, and ASME Journal of Applied Mechanics. Dr. Esfandiari is the author of Numerical Methods for Engineers and Scientists Using MATLABŪ, CRC Press, 2013; Modeling and Analysis of Dynamic Systems (with Dr. Bei Lu), 2nd edition, CRC Press, 2013; Matrix Analysis and Numerical Methods for Engineers, Atlantis, 2007; MATLABŪ Manual for Advanced Engineering Mathematics, Atlantis, 2007; Springer Handbook of Mechanical Engineering, Chapter 1, Springer-Verlag, 2009; Dynamic Systems: Modeling and Analysis (with Dr. Hung Vu), McGraw-Hill, 1997. Professor Esfandiari is the recipient of several teaching and research awards, including two Meritorious Performance and Professional Promise Awards, TRW Excellence in Teaching and Scholarship Award, the Distinguished Faculty Teaching Award, and various Scholarly and Creative Activities Awards.

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